TY - JOUR
T1 - The multiplicity conjecture in low codimensions
AU - Migliore, Juan
AU - Nagel, Uwe
AU - Römer, Tim
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2005
Y1 - 2005
N2 - We establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and for Gorenstein algebras of codimension three. In fact, we prove stronger bounds than the conjectured ones allowing us to characterize the extremal cases. This may be seen as a converse to the multiplicity formula of Huneke and Miller that inspired the conjectural bounds.
AB - We establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and for Gorenstein algebras of codimension three. In fact, we prove stronger bounds than the conjectured ones allowing us to characterize the extremal cases. This may be seen as a converse to the multiplicity formula of Huneke and Miller that inspired the conjectural bounds.
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U2 - 10.4310/mrl.2005.v12.n5.a10
DO - 10.4310/mrl.2005.v12.n5.a10
M3 - Article
AN - SCOPUS:31544478834
SN - 1073-2780
VL - 12
SP - 731
EP - 747
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 5-6
ER -